Ballistic transport under Quantum Hall effect conditions S.Nazin, V.Shikin, ISSP RAS
Outline • 1. 1-D ballistic conductance definition • 2.Hall-effect, Quantum Hall-effect (QHE) definitions • 3. Edge (ballistic) scenario for QHE realization (Halperin, 1982; Buttiker, 1986) • 4. Technical service for Halperin-Buttiker scenario . • 5. Resume.
Shub-de-Haas oscillationsand the Hall resistance for 1-D ballistic channel.
The corresponding density profile n(x) and the $x_l$ - point positions definition
Resume: • 1. Self consistent description of 1-D channel ballistic conductance under QHE conditions is presented . • 2. Benefice to B.Shklovski idea • 2. In general the activity around MES (magnetic edge states) is not so routine.
External potential, the profile n(x) of electron density, position of static skin-layer and its relative scale